# Too Many Triangles?

**Discrete Mathematics**Level 4

How many equilateral triangles can you make by joining the dots with straight lines on this equilateral triangular lattice of perimeter length 6?

**Details and Assumptions**:

Assume the dots are in a perfect equilateral triangular lattice. My image is slightly stretched.

The Two Triangles in the above image are both valid examples of unique Equilateral Triangles.